8214114128 has 80 divisors (see below), whose sum is σ = 18528528384. Its totient is φ = 3486228480.

The previous prime is 8214114119. The next prime is 8214114137.

8214114128 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8214114119) and next prime (8214114137).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8214114094 and 8214114103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369176 + ... + 390792.

Almost surely, 2^8214114128 is an apocalyptic number.

8214114128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214114128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264264192).

8214114128 is an abundant number, since it is smaller than the sum of its proper divisors (10314414256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8214114128 is a wasteful number, since it uses less digits than its factorization.

8214114128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21780 (or 21774 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 8214114128 is about 90631.7501099918. The cubic root of 8214114128 is about 2017.6859859446.

It can be divided in two parts, 82141 and 14128, that added together give a palindrome (96269).

The spelling of 8214114128 in words is "eight billion, two hundred fourteen million, one hundred fourteen thousand, one hundred twenty-eight".